Use suitable identities to find the product of
$(x + 5) (x + 2)$

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Solution

We need to find value of $(x + 5) (x + 2)$
We know identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$
Therefore, $(x + 5) (x + 2) = x^{2} + (5 + 2) x + 5 \times 2$
$= x^{2} + 7 x + 10$

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